Correlation energy of an electron gas in strong magnetic fields at high densities

Details Correlation energy of an electron gas in strong magnetic fields at high densities Correlation energy of an electron gas in strong magnetic fields at high densities

1998-10-30

arxiv.org/abs/cond-mat/9810409v1

Phys.Rev.B 58, 15 460 (1998); Erratum: 59, 12 693 (1999)

Physics

Condensed Matter

10 pages, Accepted for publication in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.58.15460

The high-density electron gas in a strong magnetic field B and at zero temperature is investigated. The quantum strong-field limit is considered in which only the lowest Landau level is occupied. It is shown that the perturbation series of the ground-state energy can be represented in analogy to the Gell-Mann Brueckner expression of the ground-state energy of the field-free electron gas. The role of the expansion parameter is taken by r_B= (2/3 \pi^2) (B/m^2) (\hbar r_s /e)^3 instead of the field-free Gell-Mann Brueckner parameter r_s. The perturbation series is given exactly up to o(r_B) for the case of a small filling factor for the lowest Landau level.

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